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ENGLISH · A WORD WITH POSSIBILITIES

irreducible.

Not able to be reduced or lessened.

11 characters5 syllables approx.English language

Meaning & usage

adj/ˌɪɹɪˈdjuːsɪbəl/
  1. Not able to be reduced or lessened.

    not-comparable
  2. Not able to be brought to a simpler or reduced form.

    not-comparable
  3. Unable to be factorized into polynomials of lower degree, as (x² + 1).

    not-comparable
  4. Whose numerator and denominator share no common factor greater than 1.

    not-comparable
  5. Unable to be factored into smaller integers; prime.

    not-comparable
  6. Whose only divisors are units and associates.

    not-comparable
  7. Inexpressible as the union of two proper algebraic subvarieties.

    not-comparable
  8. Not containing a sphere of codimension 1 that is not the boundary of a ball.

    not-comparable
  9. Impossible to divide further into representations of lower dimension by means of any similarity transformation.

    not-comparable
Where this word comes from

Etymology tree Proto-Indo-European *né Proto-Indo-European *n̥- Proto-Italic *n̥- Latin in-bor. Middle English in- English ir- English reduce Proto-Indo-European *-dʰlom Proto-Italic *-ðlom Proto-Italic *-ðlis Latin -bilis Latin -ibilis Old French -ibleder. Middle English -ible English -ible English reducible English irreducible From ir- + reducible.

noun/ˌɪɹɪˈdjuːsɪbəl/
  1. Such a polynomial

Where this word comes from

Etymology tree Proto-Indo-European *né Proto-Indo-European *n̥- Proto-Italic *n̥- Latin in-bor. Middle English in- English ir- English reduce Proto-Indo-European *-dʰlom Proto-Italic *-ðlom Proto-Italic *-ðlis Latin -bilis Latin -ibilis Old French -ibleder. Middle English -ible English -ible English reducible English irreducible From ir- + reducible.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.